3648645 has 112 divisors (see below), whose sum is σ = 8813952. Its totient is φ = 1399680.

The previous prime is 3648643. The next prime is 3648647. The reversal of 3648645 is 5468463.

3648645 = T₄₃₉ + T₄₄₀ + ... + T₄₇₃.

3648645 is a `hidden beast` number, since 3 + 6 + 4 + 8 + 645 = 666.

It is an interprime number because it is at equal distance from previous prime (3648643) and next prime (3648647).

It is not a de Polignac number, because 3648645 - 2¹ = 3648643 is a prime.

It is a super-2 number, since 2×3648645² = 26625220672050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (69120) is a multiple of the sum of its prime factors (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648643) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 280659 + ... + 280671.

It is an arithmetic number, because the mean of its divisors is an integer number (78696).

Almost surely, 2^3648645 is an apocalyptic number.

3648645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3648645 is an abundant number, since it is smaller than the sum of its proper divisors (5165307).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3648645 is a wasteful number, since it uses less digits than its factorization.

3648645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3648645 is about 1910.1426648290. The cubic root of 3648645 is about 153.9491173890.

It can be divided in two parts, 364 and 8645, that added together give a palindrome (9009).

The spelling of 3648645 in words is "three million, six hundred forty-eight thousand, six hundred forty-five".